Prandtl Number Calculator

Enter value and click on calculate. Result will be displayed.
Select calculator :
 
Kinematic Viscosity (v) :
m2/s
Thermal Diffusivity (a) :
m2/s
Result:

What is a Prandtl Number Calculator?

A Prandtl Number Calculator is a tool used to compute the Prandtl number (Pr), which is a dimensionless number in fluid dynamics and heat transfer. It helps analyze the relationship between momentum diffusivity (viscosity) and thermal diffusivity of a fluid.

Why Use It?

The Prandtl number determines whether heat conduction or convection dominates in a fluid. It is crucial in designing heat exchangers, aerodynamics, and fluid flow applications.

How Does It Work?

The Prandtl number is calculated using the formula:

where:

  • ν = kinematic viscosity (m²/s)
  • α = thermal diffusivity (m²/s)
  • μ = dynamic viscosity (Pa·s)
  • Cp​ = specific heat capacity (J/kg·K)
  • k = thermal conductivity (W/m·K)

You input these values, and the calculator computes Pr.

When is it Used?

  • Low Pr (<1): Heat conduction dominates (e.g., liquid metals).
  • Pr ≈ 1: Balanced (e.g., air, water at moderate temperatures).
  • High Pr (>1): Convection dominates (e.g., oils).